Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) If 2235 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 5866 sq.m. of land in 15 days. workers Answer:_______________ |
| 2) If 2596 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4799 sq.m. of land in 14 days. workers Answer:_______________ |
| 3) If 2239 sq.m. of land can be tilled by 16 workers in 7 days , how many workers are neede to till 4870 sq.m. of land in 12 days. workers Answer:_______________ |
| 4) If 2267 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5955 sq.m. of land in 13 days. workers Answer:_______________ |
| 5) If 2285 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 5728 sq.m. of land in 13 days. workers Answer:_______________ |
| 6) If 2631 sq.m. of land can be tilled by 19 workers in 8 days , how many workers are neede to till 4416 sq.m. of land in 14 days. workers Answer:_______________ |
| 7) If 2162 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 5789 sq.m. of land in 14 days. workers Answer:_______________ |
| 8) If 2073 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4069 sq.m. of land in 12 days. workers Answer:_______________ |
| 9) If 2909 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5051 sq.m. of land in 13 days. workers Answer:_______________ |
| 10) If 2032 sq.m. of land can be tilled by 20 workers in 8 days , how many workers are neede to till 4465 sq.m. of land in 13 days. workers Answer:_______________ |
| 1) If 2235 sq.m. of land can be tilled by 18 workers in 6 days , how many workers are neede to till 5866 sq.m. of land in 15 days. Answer: 19 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2235 to 5866.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 15 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.62460850112 x 0.4 x 18 = 19 workers |
| 2) If 2596 sq.m. of land can be tilled by 16 workers in 8 days , how many workers are neede to till 4799 sq.m. of land in 14 days. Answer: 17 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2596 to 4799.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 1.84861325116 x 0.571428571429 x 16 = 17 workers |
| 3) If 2239 sq.m. of land can be tilled by 16 workers in 7 days , how many workers are neede to till 4870 sq.m. of land in 12 days. Answer: 20 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2239 to 4870.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 16 = 2.17507815989 x 0.583333333333 x 16 = 20 workers |
| 4) If 2267 sq.m. of land can be tilled by 20 workers in 9 days , how many workers are neede to till 5955 sq.m. of land in 13 days. Answer: 36 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2267 to 5955.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 9 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.62681958536 x 0.692307692308 x 20 = 36 workers |
| 5) If 2285 sq.m. of land can be tilled by 20 workers in 7 days , how many workers are neede to till 5728 sq.m. of land in 13 days. Answer: 27 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2285 to 5728.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 7 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.5067833698 x 0.538461538462 x 20 = 27 workers |
| 6) If 2631 sq.m. of land can be tilled by 19 workers in 8 days , how many workers are neede to till 4416 sq.m. of land in 14 days. Answer: 18 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2631 to 4416.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 19 = 1.67844925884 x 0.571428571429 x 19 = 18 workers |
| 7) If 2162 sq.m. of land can be tilled by 18 workers in 8 days , how many workers are neede to till 5789 sq.m. of land in 14 days. Answer: 28 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2162 to 5789.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 14 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 18 = 2.677613321 x 0.571428571429 x 18 = 28 workers |
| 8) If 2073 sq.m. of land can be tilled by 20 workers in 5 days , how many workers are neede to till 4069 sq.m. of land in 12 days. Answer: 16 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2073 to 4069.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 5 to 12 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 1.96285576459 x 0.416666666667 x 20 = 16 workers |
| 9) If 2909 sq.m. of land can be tilled by 17 workers in 6 days , how many workers are neede to till 5051 sq.m. of land in 13 days. Answer: 14 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2909 to 5051.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 6 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 17 = 1.73633551048 x 0.461538461538 x 17 = 14 workers |
| 10) If 2032 sq.m. of land can be tilled by 20 workers in 8 days , how many workers are neede to till 4465 sq.m. of land in 13 days. Answer: 27 workers SOLUTION 1 : Soln:
Step:1 Consider area of land & workers. As the area o land increases from 2032 to 4465.The No of workers also increases. It is in direct variation. The multiplying factor = Step:2 Consider the area of land & days. As the No of days increases from 8 to 13 & the No of workers decreases . It is in inverse variation. The multiplying factor = x = x x 20 = 2.19734251969 x 0.615384615385 x 20 = 27 workers |